N. Avni

activity

20062026

most citedRepresentation zeta functions of compact p-adic analytic groups and arithmetic groups

61 citations · 200 across the 32 of their papers we have counts for

collaborators

35 papers

math.GR2026

Cosets with constant characteristic polynomial

Nir Avni, Tsachik Gelander

Let H be a linear group. We show that if there is an invertible matrix x such that all the elements of xH share the same characteristic polynomial then H is virtually solvable. The…

math.RT2026

A proof of Harish-Chandra's integrability theorem for cuspidal representations of $GL_{n} (F_{ℓ} ((t)))$

Avraham Aizenbud, Nir Avni, Dmitry Gourevitch +2

Consider the Chevalley map $p : gl_{n} (F) \to (gl_{n} // GL_{n}) (F),$ where $F = F_{ℓ} ((t))$ . We show that the push forward via $p$ of every smooth…

math.AG2026

Push-forward of smooth measures and strong Thom stratifications

Avraham Aizenbud, Nir Avni, Shachar Carmeli

We study the collection of measures obtained via push-forward along a map between smooth varieties over p-adic fields. We investigate when the stalks of this collection are finite-…

math.GR2025

Mixed identities in linear groups -- effective version

Nir Avni, Tsachik Gelander

We show that MIF (mixed-identity-free) linear groups are sharply MIF and linearly MIF. Along the way we provide a self contained proof of the strong approximation theorem, and a ne…

math.GR2025

Bounded Generation for $S L_{n} (Λ)$

Nir Avni, Chen Meiri

Let $Λ$ be an order in a division algebra over a number field. We prove, under some conditions, that $S L_{3} (Λ)$ is boundedly generated by elementary matrices.

math.GR2024

Fourier and small ball estimates for word maps on unitary groups

Nir Avni, Itay Glazer, Michael Larsen

To a non-trivial word $w (x_{1}, ..., x_{r})$ in a free group $F_{r}$ on $r$ elements and a group $G$ , one can associate the word map $w_{G} : G^{r} \to G$ that takes an $r$ -tupl…